24973920 has 240 divisors, whose sum is σ = 92207808. Its totient is φ = 6359040.

The previous prime is 24973919. The next prime is 24973931. The reversal of 24973920 is 2937942.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 531337 + ... + 531383.

Almost surely, 2^24973920 is an apocalyptic number.

24973920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24973920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46103904).

24973920 is an abundant number, since it is smaller than the sum of its proper divisors (67233888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

24973920 is a wasteful number, since it uses less digits than its factorization.

24973920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 24973920 is about 4997.3913194786. The cubic root of 24973920 is about 292.3000606005.

The spelling of 24973920 in words is "twenty-four million, nine hundred seventy-three thousand, nine hundred twenty".